NCERT Solutions for Class 6Â Maths Chapter 8 Decimals
NCERT Solutions for Class 6 Maths Chapter 8 Decimals: If you go to a shop and ask for the price of pencils, the shop keeper tells you a pencil costs rupees 3.5. If you need 4 pencils, how much do you have to pay to the shopkeeper? In such situations, you need calculations using decimals. You have to add 3.5 four times which will give 14 as the answer, so you have to give 14 rupees to the shopkeeper. Calculations using decimals are necessary for our daily life. In this article, you will get NCERT solutions for class 6 maths chapter 8 decimals. In this chapter, you will study about decimal numbers, addition and subtraction of decimal numbers. Also, you will study how to convert fractions to decimals and also decimals to fractions. There are many questions in the solutions of NCERT for class 6 maths chapter 8 decimals which will give more clarity to the concepts. You will also find that how to read the decimal number which is different from the whole number. You will read 24.365 as twentyfour point three six five, not twentyfour point three sixtyfive. The number 5 can be written in decimal form as 5.000, 3.5 as 3.500000000, There are 38 questions in 6 exercises of this chapter. You will get detailed explanations of these questions in the CBSE NCERT solutions for class 6 maths chapter 8 decimals. It will help you in understanding the chapter in a more easy way. You can get NCERT solutions from class 6 to 12 for science and maths by clicking on the above link.
Topicwise and exercise questions are solved in the NCERT solutions for class 6 maths chapter 8 decimals. To go to respective topics or exercise click the links below.
The main topics of NCERT Solutions for Class 6 Maths Chapter 8 Decimals are given below.
8.1 Introduction
8.2 Tenths
8.3 Hundredths
8.4 Comparing Decimals
8.5 Using Decimals
8.5.1 Money
8.5.2 Length
8.5.3 Weight
8.6 Addition of Numbers with Decimals
8.7 Subtraction of Decimals
NCERT Solutions for Class 6 Maths Chapter 8 Decimals are given below:
Solutions of NCERT for class 6 maths chapter 8 decimals topic 8.2 tenths
Question:
1
Can you now write the following as decimals
Answer:
Yes, we can write to them in Decimal form.
The Numbers in the decimal forms are:
i) 538.1
ii) 273.4
iii) 354.6
Solutions of NCERT for class 6 maths chapter 8 decimals topic 8.2 subtopic fractions as decimals
Question: 1 Write in decimal notation.
Answer:
The number in decimal forms are:
NCERT solutions for class 6 maths chapter 8 decimalsExercise: 8.1
Question: 1 Write the following as numbers in the given table.
Answer:
Observing from the figure, we get
Hundreds (100) 
Tens (10) 
Ones (1) 
Tenths

a) 0 
3 
1 
2 
b) 1 
1 
0 
4 
Question: 2 Write the following decimals in the place value table.
Answer:
The Value table of the numbers are:
Number 
Hundreds 
Tens 
Ones 
Tenths 
19.3 
0 
1 
9 
3 
0.3 
0 
0 
0 
3 
10.6 
0 
1 
0 
6 
205.9 
2 
0 
5 
9 
Question: 3 Write each of the following as decimals :
(a) Seventenths (b) Two tens and ninetenths
(c) Fourteen point six (d) One hundred and two ones
Answer:
(a) Seventenths :
(b) Two tens and ninetenths:
(c) Fourteen point six :
(d) One hundred and two ones
(e) Six hundred point eight
Question: 4 Write each of the following as decimals:
(a)
(b)
(c)
(d)
(e)
(f)
(g)
(h)
(i)
(j)
(k)
Answer:
As we know when we divide a number by 10, the result is that number with a decimal after one digit,(we count the digit from right to left).
So Keeping that in mind,
(a)
(b)
(c)
(d)
(e)
(f)
(g)
(h)
(i)
(j)
(k)
Question: 5 Write the following decimals as fractions. Reduce the fractions to lowest form.
Answer:
Converting Decimals into Fractions. we get
(a)
(b)
(c)
(d)
(e)
(f)
(g)
Question: 6 Express the following as cm using decimals.
(a) 2 mm (b) 30 mm (c) 116 mm (d) 4 cm 2 mm (e) 162 mm (f) 83 mm
Answer:
As we know
1 cm = 10 mm
1 mm = 0.1 cm
So,
(a) 2 mm
(b) 30 mm
(c) 116 mm
(d) 4 cm 2 mm
(e) 162 mm
(f) 83 mm
Answer:
(a) Lies Between 0 and 1. and 1 is the closest whole number to it.
(b) Lies between 5 and 6 and 5 is the closest whole number to it.
(c) Lies between 2 and 3 and 3 is the closest whole number to it.
(d) Lies between 6 and 7 and 6 is the closest whole number to it.
(e) Lies between 9 and 10 and 9 is the closest whole number to it.
(f) Lies between 4 and 5. and 5 is the closest whole number to it.
Question: 8 Show the following numbers on the number line.
Answer:
The numbers on the number line are:
(a) (b) (c) (d)
Question: 9 Write the decimal number represented by the points A, B, C, D on the given number line.
Answer:
As we can see the points lies in the number line,
Question: 10 (a) The length of Ramesh’s notebook is 9 cm 5 mm. What will be its length in cm?
Answer:
length of Ramesh’s notebook = 9 cm 5 mm
As we know,
So Length in the unit of cm :
Hence the Length of Ramesh's notebook is 9.5 cm.
Question: 10 (b) The length of a young gram plant is 65 mm. Express its length in cm.
Answer:
length of a young gram plant is 65 mm
As we know,
So,
So Length of young gram plant is 6.5 cm.
NCERT solutions for class 6 maths chapter 8 decimalsExercise: 8.2
Question:1 Complete the table with the help of these boxes and use decimals to write the number.
Answer:

Ones 
Tenths 
Hundredths 
Number 
(a) 
0 
2 
6 
0.26 
(b) 
1 
3 
8 
1.38 
(c) 
1 
2 
8 
1.28 
Question:2 Write the numbers given in the following place value table in decimal form.


Answer:
As we can see from the table, the numbers are:
(a)
(b)
(c)
(d)
(e)
Question: 3 Write the following decimals in the place value table.
Answer:
(a)
(b)
(c)
(d)
(e)
So, the table becomes:
Hundreds 
Tens 
Ones 
Tenths 
Hundredths 
Thousands 
0 
0 
0 
2 
9 
0 
0 
0 
2 
0 
8 
0 
0 
1 
9 
6 
0 
0 
1 
4 
8 
3 
2 
0 
2 
0 
0 
8 
1 
2 
Question: 4 Write each of the following as decimals.
Answer:
Writing the number in a decimal form:
(a)
(b)
(c)
(d)
(e)
Question: 5 Write each of the following decimals in words.
Answer:
As we know After decimal, we call one digit at a time.
(a) = Zero point zero three
(b) = One point two zero
(c) = One hundred eight point five six
(d) = Ten point zero seven
(e) = Zero point zero three two
(f) = Five point zero zero eight.
Question:6 Between which two numbers in tenths place on the number line does each of the given number lies?
Answer:
Here, we have a zoomed version of the number line in which the interval between two number is 0.1 instead of 1 which we use normally. So,
(a) lies between 0.0 and 0.1
(b) lies between 0.4 and 0.5
(c) lies between 0.1 and 0.2
(d) lies between 0.6 and 0.7
(e) lies between 0.9 and 1.0
(f) lies between 0.5 and 0.6.
Question:7 Write as fractions in lowest terms.
Answer:
The Numbers in the lowest form of the fraction are:
(a)
(b)
(c)
(d)
(e)
(f)
(g)
CBSE NCERT solutions for class 6 maths chapter 8 decimalsExercise: 8.3
Question: 1 Which is greater? (a) or (b) or (c) or (d) or (e) or (f) or
Answer:
We compare Decimals just like the way we compare normal numbers. First, we see the leftmost digit of the numbers and if they are same then we move toward the right digits. So,
(a) or
0.4 is greater as while number part (the number before the decimal) is the same.
(b) or
0.07 is greater
(c) or
3 is greater as the whole part of the numbers are 3 and 0.so obviously 3 is greater than 0.
(d) or
0.5 is greater
(e) or
1.23 is greater
(f) or
0.19 is greater
(g) or
As we know that after the decimal, we can add as many zeros as we want in the rightmost to the numbers just like we can add zeroes to the left side of any whole number. this we can do because those zeroes do not carry any value so they don't affect the numbers.
So.
They both are the same number.
(h) or
1.490 is greater
(i) or
As we know in decimal the RIGHTMOST zeros don't carry any value.so,
They both are the same number
(j) or
5.64 is greater.
Question:2 Make five more examples and find the greater number from them.
Answer:
we can take any two number from the number line and compare them. For example,
1) 9.9 > 3.3
2) 6.6 < 9.9
3) 3.6 > 3.3
4) 9.6 < 9.9
5) 6.9 > 3.9
Solutions for NCERT class 6 maths chapter 8 decimals topic 8.5 using decimals
Question:(i) Write 2 rupees 5 paise and 2 rupees 50 paise in decimals.
Answer:
As we know that
1 rupee = 100 paise
So
2 rupees 5 paise :
and 2 rupees 50 paise:
Question:(ii) Write 20 rupees 7 paise and 21 rupees 75 paise in decimals?
Answer:
As we know that
1 rupee = 100 paise
So
20 rupees 7 paise:
and 21 rupees 75 paise:
Solutions of NCERT for class 6 maths chapter 8 decimals topic 8.5.2 length
Question:1 Can you write 4 mm in ‘cm’ using decimals?
Answer:
As we know,
1 cm = 10 mm
So,
.
Question:2 How will you write 7cm 5 mm in ‘cm’ using decimals?
Answer:
As we know,
1 cm = 10 mm
So,
7cm 5 mm :
.
Answer:
As we know,
1 km = 1000 m
So,
52 m in km :
340 m in km :
2008 m in km :
Solutions of NCERT for class 6 maths chapter 8 decimals topic 8.5.3 Weight
Question:1 Can you now write 456 g as ‘kg’ using decimals?
Answer:
As we know,
1 kg = 1000 g
So,
456 g in kg:
Question:2 How will you write 2 kg 9 g in ‘kg’ using decimals?
Answer:
As we know,
1 kg = 1000 g
So,
2 kg 9 g in kg:
NCERT solutions for class 6 maths chapter 8 decimalsExercise: 8.4
Question:1 Express as rupees using decimals.
(a) 5 paise (b) 75 paise (c) 20 paise (d) 50 rupees 90 paise (e) 725 paise
Answer:
As we know that
1 rupee = 100 paise
So
(a) 5 paise
(b) 75 paise
(c) 20 paise
(d) 50 rupees 90 paise
(e) 725 paise
Question:2 Express as metres using decimals.
(a) 15 cm (b) 6 cm (c) 2 m 45 cm (d) 9 m 7 cm (e) 419 cm
Answer:
As we know
1 m = 100 cm
Which means
.
So,
(a) 15 cm
(b) 6 cm
(c) 2 m 45 cm
(d) 9 m 7 cm
(e) 419 cm
Question:3 Express as cm using decimals.
(a) 5 mm (b) 60 mm (c) 164 mm (d) 9 cm 8 mm (e) 93 mm
Answer:
As we know,
1 cm = 10 mm
which means
So,
(a) 5 mm :
(b) 60 mm
(c) 164 mm
(d) 9 cm 8 mm
(e) 93 mm
Question:4 Express as km using decimals.
(a) 8 m (b) 88 m (c) 8888 m (d) 70 km 5 m
Answer:
As we know,
1 km = 1000 m
which means
So,
(a) 8 m
(b) 88 m
(c) 8888 m
(d) 70 km 5 m
Question:5 Express as kg using decimals.
(a) 2 g (b) 100 g (c) 3750 g
(d) 5 kg 8 g (e) 26 kg 50 g
Answer:
As we know.
1 kg = 1000 g
which means
So,
(a) 2 g
(b) 100 g
(c) 3750 g
(d) 5 kg 8 g
(e) 26 kg 50 g
Solutions for NCERT class 6 maths chapter 8 decimals topic 8.6 addition of numbers with decimals
Question:(i) Find
Answer:
As we know that the decimal addition is exactly like normal addition and we don't change the position of decimal in the number.
So,
Hence
Question:(ii) Find
Answer:
As we know that the decimal addition is exactly like normal addition and we don't change the position of decimal in the number.
So,
Hence,
Question:(iii) Find
Answer:
As we know that the decimal addition is exactly like normal addition and we don't change the position of decimal in the number.
So,
.
Question:(iv) Find
Answer:
As we know that the decimal addition is exactly like normal addition and we don't change the position of decimal in the number.
So,
NCERT solutions for class 6 maths chapter 8 decimalsExercise: 8.5
Question:1 Find the sum in each of the following :
Answer:
As we know that the decimal addition is exactly like normal addition and we don't change the position of decimal in the number.
So,
(a)
(b)
(c)
(d)
(e)
(f)
Question: 2 Rashid spent Rs for Maths book and Rs for Science book. Find the total amount spent by Rashid.
Answer:
Amount spend on maths book = Rs
Amount spend on science book = Rs
Total amount spend = Rs Rs
= Rs
Hence the total amount spends by Rashid is Rs 68.35.
Answer:
The amount Radhika got from mother = Rs
The amount Radhika got from father = Rs
Total amount Radhika have = Rs Rs
= Rs
Hence the total amount of money Radhika got from her parents is Rs 26.30.
Answer:
Length of cloth for shirt = 3 m 20 cm
Length of cloth for trouser = 2 m 5 cm
As we know.
For adding two numbers their unit must be the same.
So making length in meter:
and
Now,
Total Length of the cloth = 3.2 m + 2.05 m
= 5.25 m
Hence Nasreen bought clothe with a length of 5.25 m.
Answer:
The distance covered in the morning = 2 km 35 m
The distance covered in the evening = 1 km 7 m
As we know.
For adding two numbers their unit must be the same.
So Lengths in the Kilometer :
And
Now,
Total Distance covered by Naresh = 2.035 km + 1.007 km
= 3.042 km
Hence the distance covered by Naresh is 3.042 km.
Answer:
The distance travelled by bus = 15 km 268 m
The distance travelled by car = 7 km 7 m
The distance travelled by foot = 500 m
As we know.
For adding two numbers their unit must be the same.
So,
Also
And,
So,
The total distance Sunita traveled = 15.268 km + 7.007 km + 0.5 km
= 22.775 km
Hence the distance between Sunita's residence and school is 22.775 km.
Answer:
amount of rice purchased by Ravi = 5 kg 400 g.
amount of sugar purchased by Ravi = 2 kg 20 g.
amount of flour purchased by Ravi = 10 kg 850 g.
As we know.
For adding two numbers their unit must be the same.
So,
Also,
And,
So,
The total weight of the grain Ravi purchased = 5.4 kg + 2.002 kg + 10.85 kg
= 18.270 kg
Hence Ravi purchased total grain having the weight of 18.270 kg.
Solutions for NCERT class 7 maths chapter 8 decimals topic 8.7 subtraction of decimals
Question:1 Subtract from
Answer:
As we know, subtraction in decimal works exactly like normal subtraction, we just have to maintain the place of decimal.
So
Question:2 Subtract from
Answer:
As we know, subtraction in decimal works exactly like normal subtraction, we just have to maintain the place of decimal.
So
Question:3 Subtract from
Answer:
As we know, subtraction in decimal works exactly like normal subtraction, we just have to maintain the place of decimal.
So
Question: 4 Subtract from
Answer:
As we know, subtraction in decimal works exactly like normal subtraction, we just have to maintain the place of decimal.
So
CBSE NCERT solutions for class 7 maths chapter 8 decimalsExercise: 8.6
Question: 1 Subtract :
Answer:
As we know, subtraction in decimal works exactly like normal subtraction, we just have to maintain the place of decimal.
So
(a) Rs from Rs
Rs
(b) m from 250 m\
m
(c)Rs from Rs
Rs
(d ) km from km
km
(e) kg from kg
kg
Question: 2 Find the value of :
Answer:
As we know, subtraction in decimal works exactly like normal subtraction, we just have to maintain the place of decimal.
So
(a)
(b)
(c)
(d)
Answer:
Total money Raju gave to shopkeeper = Rs 50
The price of the book = Rs 35.65
Money shopkeeper will return Raju = Rs 50.00  Rs 35.65
= Rs 14.35
Hence Raju got 14.35 Rs from the shopkeeper.
Question: 4 Rani had Rs . She bought one icecream for Rs . How much money does she have now?
Answer:
Total Money Rani had = Rs 18.50
The money she spent on icecream = 11.75
The Remaining money Rani have = Rs 18.50  Rs 11.75
= Rs 6.75
Hence Rani has 6.75 Rs now.
Answer:
Length of cloth initially = 20 m 5 cm = 20.05 m
Length of cloth Tina cuts = 4 m 50 cm = 4.50 m
The length of remaining cloth = 20.05 m  4.50 m
= 15.55 m
= 15 m 55 cm
Hence the length of remaining cloth Tina have is 15 m 55 cm.
Answer:
Total distance travelled by Namita = 20 km 50 m = 20.05 km
The distance travelled by bus = 10 km 200 m = 10.20 km
The remaining distance which is traveled by auto = 20.05 km  10.20 km
= 9.850 km.
Hence the distance travelled by Namita in auto is 9.850 km.
Answer:
Total weight of the vegetables = 10 kg
weight of onion = 3 kg 500 g = 3.5 kg
weight of tomato = 2 kg 75 g = 2.075 kg
Total weight of onion and potato = 3.5 kg + 2.075 kg
= 5.575 kg
So, The rest weight of potato = 10 kg  5.575 kg
= 4.425 kg
Hence, the weight of the potato is 4.425 kg.
NCERT Solutions for Class 6 Mathematics  Chapterwise
Chapters No. 
Chapters Name 
Chapter  1 
Solutions of NCERT for class 6 maths chapter 1 Knowing Our Numbers 
Chapter  2 
CBSE NCERT solutions for class 6 maths chapter 2 Whole Numbers 
Chapter  3 
NCERT solutions for class 6 maths chapter 3 Playing with Numbers 
Chapter  4 
Solutions of NCERT for class 6 maths chapter 4 Basic Geometrical Ideas 
Chapter  5 
CBSE NCERT solutions for class 6 maths chapter 5 Understanding Elementary Shapes 
Chapter  6 

Chapter  7 

Chapter  8  NCERT solutions for class 6 maths chapter 8 Decimals 
Chapter  9 
CBSE NCERT solutions for class 6 maths chapter 9 Data Handling 
Chapter 10 

Chapter 11 

Chapter 12 
CBSE NCERT solutions for class 6 maths chapter 12 Ratio and Proportion 
Chapter 13 

Chapter 14 
Solutions of NCERT for class 6 maths chapter 14 Practical Geometry 
NCERT Solutions for Class 6  Subject wise
Some important findings from the NCERT solutions for class 6 maths chapter 8 decimals which will be useful in real life too are listed below.
Converting a quantity from one unit to another
 Millimeter to centimeter
 Centimeter to meter
 Paise to rupee
.
 Grams to kg
Tip You don't have to remember these units conversion. If you know the value of the quantity in one unit and other units, you can convert it very easily. In CBSE NCERT solutions for class 6 maths chapter 8 decimals, you will find many unit conversion questions that will further strengthen your fundamentals.
Happy Reading !!!